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Finding the Fourth Proportional to 161,777.20, 242,665.80 and 83,045.20

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Solution

The fourth proportional to 161,777.20, 242,665.80 and 83,045.20 is: 124,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,777.20 : 242,665.80 = 83,045.20 : x
  2. Step 2: Convert to fraction form
    161,777.20/242,665.80 = 83,045.20/x
  3. Step 3: Cross multiply
    161,777.20x = 242,665.80 × 83,045.20
  4. Step 4: Simplify right side
    161,777.20x = 20,152,229,894.16
  5. Step 5: Solve for x
    x = 20,152,229,894.16/161,777.20
  6. Step 6: Final answer
    x = 124,567.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.